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FUZZY SUB-HOOPS BASED ON FUZZY POINTSopen access
- Issue Date
- Dec-2020
- Publisher
- UNIV MISKOLC INST MATH
- Keywords
- Sub-hoop; (is an element of, is an element of)-fuzzy sub-hoop; (is an element of, is an element of Vq)-fuzzy sub-hoop; (q, is an element of Vq)-fuzzy sub-hoop
- Citation
- MISKOLC MATHEMATICAL NOTES, v.22, no.1, pp 91 - 106
- Pages
- 16
- Indexed
- SCIE
SCOPUS
- Journal Title
- MISKOLC MATHEMATICAL NOTES
- Volume
- 22
- Number
- 1
- Start Page
- 91
- End Page
- 106
- ISSN
- 1787-2405
1787-2413
- Abstract
- Using the belongs to relation (subset of) and quasi-coincident with relation (q) between fuzzy points and fuzzy sets, the notions of an (is an element of, is an element of)-fuzzy sub-hoop, an (is an element of, is an element of Vq)-fuzzy sub-hoop and a (q, is an element of Vq)-fuzzy sub-hoop are introduced, and several properties are investigated. Characterizations of an (is an element of, is an element of)-fuzzy sub-hoop and an (is an element of, is an element of Vq)-fuzzy sub-hoop are displayed. Relations between an (is an element of, is an element of)-fuzzy sub-hoop, an (is an element of, is an element of Vq)-fuzzy sub-hoop and a (q, is an element of Vq)-fuzzy sub-hoop are discussed. Conditions for a fuzzy set to be a (q, is an element of Vq)-fuzzy sub-hoop are considered, and condition for an (is an element of, is an element of Vq)-fuzzy sub-hoop to be a (q, is an element of Vq)-fuzzy sub-hoop are provided.
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